Inverse-cycles in weak-inverse loops

Constructions of Weak Inverse Property Loops

On Middle Universal Weak and Cross Inverse Property Loops with Equal Lenght of Inveres Cycles

This study presents a special type of middle isotopism under which the weak inverse property (WIP) is isotopic invariant in loops. A sufficient condition for a WIPL that is specially isotopic to a loop to be isomorphic to the loop isotope is established. It is shown that under this special type of middle isotopism, whenever n is a positive even integer, a finite WIPL has an inverse cycle of len...

Weak Inverse Shadowing and Genericity

We study the genericity of the first weak inverse shadowing property and the second weak inverse shadowing property in the space of homeomorphisms on a compact metric space, and show that every shift homeomorphism does not have the first weak inverse shadowing property but it has the second weak inverse shadowing property.

Generating Loops with the Inverse Property

This is an investigation in the tradition of Fujita et al (IJCAI 1993), Zhang et al (JSC 1996), Dubois and Dequen (CP 2001) in which CP or SAT techniques are used to answer existence questions concerning small algebras. In this paper, we open the attack on IP loops, an interesting and underinvestigated variety intermediate between loops and groups.

Inverse topology in BL-algebras

In this paper, we introduce Inverse topology in a BL-algebra A and prove the set of all minimal prime filters of A, namely Min(A) with the Inverse topology is a compact space, Hausdorff, T0  and T1-Space. Then, we show that Zariski topology on Min(A) is finer than the Inverse topology on Min(A). Then, we investigate what conditions may result in the equivalence of these two topologies. Finally,...